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  Identifying Cause and Effect on Discrete Data using Additive Noise Models

Peters, J., Janzing, D., & Schölkopf, B. (2010). Identifying Cause and Effect on Discrete Data using Additive Noise Models. Cambridge, MA, USA: JMLR.

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資料種別: 会議論文

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 作成者:
Peters, J1, 2, 著者           
Janzing, D1, 2, 著者           
Schölkopf, B1, 2, 著者           
所属:
1Department Empirical Inference, Max Planck Institute for Biological Cybernetics, Max Planck Society, ou_1497795              
2Max Planck Institute for Biological Cybernetics, Max Planck Society, Spemannstrasse 38, 72076 Tübingen, DE, ou_1497794              

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 要旨: Inferring the causal structure of a set of random variables from a finite sample of the
joint distribution is an important problem
in science. Recently, methods using additive
noise models have been suggested to approach
the case of continuous variables. In
many situations, however, the variables of interest
are discrete or even have only finitely
many states. In this work we extend the notion
of additive noise models to these cases.
Whenever the joint distribution P(X;Y ) admits
such a model in one direction, e.g. Y =
f(X) + N; N ? X, it does not admit the
reversed model X = g(Y ) + ~N ; ~N ? Y as
long as the model is chosen in a generic way.
Based on these deliberations we propose an
efficient new algorithm that is able to distinguish
between cause and effect for a finite
sample of discrete variables. We show that
this algorithm works both on synthetic and
real data sets.

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 日付: 2010-05
 出版の状態: 出版
 ページ: -
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 識別子(DOI, ISBNなど): BibTex参照ID: 6387
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イベント名: Thirteenth International Conference on Artificial Intelligence and Statistics (AI & Statistics 2010)
開催地: Chia Laguna Resort, Italy
開始日・終了日: 2010-05-13 - 2010-05-15

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出版物名: JMLR Workshop and Conference Proceedings
種別: 連載記事
 著者・編者:
Teh, YW, 編集者
Titterington , M, 編集者
所属:
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出版社, 出版地: Cambridge, MA, USA : JMLR
ページ: - 巻号: 9 通巻号: - 開始・終了ページ: 597 - 604 識別子(ISBN, ISSN, DOIなど): -